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What else can I help you with?
Which polygons do not tessellate?
Pentagons, decagons, and octagons will not tessellate. In order to create a tessellation, the sum of the angles at a point must be 360.
What must be the sum of all interior angles that meet at a vertex if a figure is to tessellate a plane?
360 degrees
What shapes don't tessellate?
I believe that regular shapes will only tessellate if the sum of their internal angles is a multiple of 180.
Explain why a regular nonagon does not tessellate?
because there are to many sides * * * * * Each interior angle of a regular nonagon is 140 degrees. At any point in the tessellated plane, a whole number of shapes must come together and the sum of their interior angles must be 360 degrees. 140 does not go into 360 and so a regular nonagon cannot tessellate.
Why can't a regular octagon tessellate?
To be able to tessellate where a vertex meets other vertices, the total of those angles must be a full circle of 360°. The interior angle of an Octagon is 135° which does not divide into 360° which means there cannot be a complete number of vertices meeting and so it cannot, by itself, tessellate. However, two octagons meeting at a point would have 135° + 135° = 270° leaving 90° which is the interior angle of a square. So octagons and squares together will tessellate.
You cannot tessellate five-sided regular polygons by themselves?
Mostly true - you cannot tessellate only regular pentagons in two dimensions, since you cannot sum up the intersection of the angles to 360 degrees. If you tessellate a regular pentagon in three dimensions, you end up with a dodecahedron.
Can a square and a pentagon tessellate?
No, a square and a pentagon cannot tessellate together. In order for two shapes to tessellate, their angles must add up to a multiple of 360 degrees. A square has angles of 90 degrees, while a regular pentagon has angles of 108 degrees. Since 90 and 108 do not add up to a multiple of 360, these shapes cannot tessellate together.
Does an oval tessellate?
An oval does not tessellate by itself, as it does not have straight sides that can fit together without any gaps or overlaps. In order to tessellate, a shape must have edges that match up perfectly with the edges of other shapes. Regular polygons like squares and hexagons tessellate because their sides are all the same length and can fit together seamlessly.
Can a cone tessellate?
No cones can not tessellate.
Can a star tessellate?
Yes * * * * * No. A star will not tessellate.
Will a square and a circle tessellate?
A square will tessellate leaving no gaps or overlaps but a circle does not tessellate.
Will a triangle tessellate?
No, a triangle will not tessellate by itself. In order for a shape to tessellate, it must be able to fit together with copies of itself without any gaps or overlaps. Triangles have angles that add up to 180 degrees, which does not allow them to fit together seamlessly to create a tessellation. Shapes like squares, hexagons, and equilateral triangles can tessellate because their angles allow them to fit together perfectly.
